Quoting: zizougaffar
Here's the thing, looking at the Jets roster, I don't think they should go into a full rebuild, but rather a retool to try and fix the team's defence, and with the retool, I think the two most likely players to get traded from the team are Scheifele and Ehlers. I don't follow the Jets that often so I might be wrong, but I doubt the team trades Wheeler, unless they are ok with trading their Captain, and Connor should definitely be an untouchable.
Now you said you wouldn't take the likes of Brown and Brannstrom in a full rebuild, which is can be true, however, I think Brown can be valuable to the team as he is a very good 3rd liner, but during the retool he would take a top 6 spot until the Jets forwards like Perfetti and Vesalainen have fully developed. Brannstrom I figured since, again I could be wrong, I don't think there are many puck moving defenders on the Jets team, so I figured why not place him in the trade.
Yeah, it is very unlikely the Jets go full rebuild, but either way the Jets would keep Ehlers. He's still fairly young and has a great contract. The mostly probable route is a retool with PLD, Connor, Ehlers, Morrissey, Hellebuyck as the new core. Wheeler probably won't be moved, as True North is too loyal to move him unless he asks.
The defense isn't too bad, it's more that team defense and systems need to be fixed and that should be taken care of with new coaches. Although the Jets could use more size and physicality on their defense which Brannstrom wouldn't provide.
Brown would be an okay add, it would just depend on the cost.